Geodesic
The main series of nonhomogeneous systems of hydrodynamic type with constant matrices possessing $1^{st}$ order conservation laws
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 641-648

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $u_t^i=v_iu_x^i+f_i(u)$, $i=1,\ldots,n$ be a system of PDE with constant $v_i$. We give a classification of such systems possessing nontrivial conservation laws $dg(u,u_x)/dt=dh(u,u_x)/dx$ and their explicit form for two main series. The third (and the last) main series is shown to be nontrivial. Some examples of such systems are new. 
@article{FPM_1995_1_3_a4,
     author = {E. I. Ganzha},
     title = {The main series of nonhomogeneous systems of hydrodynamic type with constant matrices possessing $1^{st}$ order conservation laws},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {641--648},
     publisher = {mathdoc},
     volume = {1},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a4/}
}
TY  - JOUR
AU  - E. I. Ganzha
TI  - The main series of nonhomogeneous systems of hydrodynamic type with constant matrices possessing $1^{st}$ order conservation laws
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1995
SP  - 641
EP  - 648
VL  - 1
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a4/
LA  - ru
ID  - FPM_1995_1_3_a4
ER  - 
%0 Journal Article
%A E. I. Ganzha
%T The main series of nonhomogeneous systems of hydrodynamic type with constant matrices possessing $1^{st}$ order conservation laws
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 641-648
%V 1
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a4/
%G ru
%F FPM_1995_1_3_a4
E. I. Ganzha. The main series of nonhomogeneous systems of hydrodynamic type with constant matrices possessing $1^{st}$ order conservation laws. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 641-648. http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a4/